ACT Reasoning Sample Paper 5

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Q-1. The L.C.M and H.C.F of two positive numbers is 400 and 40 respectively. If one of the numbers is 200, what is the other number?

(a) 80

(b) 50

(c) 60

(d) 40

Q-2. How much must be subtracted from 34968725 to make it exactly divisible by 12 ?

(a) 0

(b) 7

(c) 5

(d) Cannot be determined

Q-3. A person earns Rs. 400 on a capital of Rs. 1000 as simple interest in 4 year. If the same rate of interest is applicable compound (p.a), what would be the compound interest for 2 year?

(a) Rs. 200

(b) Rs. 110

(c) Rs. 310

(d) Rs. 210

Q-4. A student first decreased a number by 20% and then increased the decreased number by 20% . The number so obtained is 20 less the original so what was the original number?

(a) 100

(b) 500

(c) 400

(d) 200

Q-5. Rs. 720 are to be distributed among A, B and C such that half of A’s share is equal to of B’s share which is equal to of C’s share. How much is the share of C?

(a) Rs. 160

(b) Rs. 240

(c) Rs. 600

(d) Rs. 320

Q-6. In an examination 1800 candidates were boys and 2200 were girls passed the examination, what is the ratio of failed boys to failed girls?

(a) 125 : 111

(b) 42 : 48

(c) 39 : 47

(d) 261 : 286

Q-7. A dishonest dealer pretends to sell at the cost price but earns a profit of 25% by underweighting. What weight must he be using for 1 kg?

(a) 750 gm

(b) 800 gm

(c) 500 gm

(d) 875 gm

Q-8. A person works twice as fast as a woman. A woman works twice as fast as a child. If 16 persons can complete a job in 12 days, how many days would be required for 32 women, and 64 boys together to complete the same job?

(a) 2 days

(b) 3 days

(c) 4 days

(d) 6 days

Q-9. The migration rate of people from city A to city B is 20% p.a If the population of city A and B is 12,00,000 and 6,00,000 respectively in the beginning of any years, during which of the following y ears would the population of both cities be equal?

(a) 2nd year

(b)1st year

(c) 3rd year

(d) Cannot be determined

Q-10. Rajeev and Abhishek started from A towards B at the speeds of 40 kmph at 7.00 a.m and 10.00 a.m respectively. At are travelling at uniform speed?

(a) 12.00 noon

(b) 2.00 pm

(c) 11.00 am

(d) 1.00 pm